Edge states of the quantum Hall fluid provide an opportunity to study mesoscopic effects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the persistent current and Aharonov-Bohm magnetoconductance oscillations in the fractional quantum Hall effect regime.

 * Industrial Research Institute for Automation and Measurements, al. Jerozolimskie 202, 02-486 Warsaw, Poland; [email protected], [email protected], ** Institute of Electronic Materials Technology, Wolczynska 133, 01-919 Warsaw, Poland, [email protected], *** Institute of Metrology and Biomedical Engineering, Warsaw University of Technology, sw. Andrzeja Boboli 8, 05-525 Warsaw...

This note discusses the peridynamic horizon (the nonlocal region around a material point), its role, and practical use in modeling. The objective is to eliminate some misunderstandings and misconceptions regarding the peridynamic horizon. An example of crack branching in a nominally brittle material (homalite) is addressed and we show that crack branching takes place without wave interaction. W...

An experiment investigating the photoelectron instability has been performed in BEPC at IHEP, China. The betatron oscillation of each bunch was observed and recorded by a single pass beam position monitor system which has a capability to measure the transverse position of every bunch over 16000 turns. The effect of an octupole magnet on the instability was also studied. This paper describes res...

F. Rohlfing,1 G. Tkachov,2,* F. Otto,1 K. Richter,2 D. Weiss,1 G. Borghs,3 and C. Strunk1 1Institute for Experimental and Applied Physics, Universität Regensburg, D-93040 Regensburg, Germany 2Institute for Theoretical Physics, Universität Regensburg, D-93040 Regensburg, Germany 3Interuniversity Micro-Electronics Center (IMEC), Kapeldreef 75a, B-3001 Leuven, Belgium Received 27 February 2009; re...

This paper deals with the homogenization of the Hall effect in three-dimensional composites. We prove that the homogenized Hall coefficients are bounded from above by means of prescribed bounds on the local conductivity and the local Hall coefficient. Then, three microstructures of different nature are presented in order to show that arbitrarily large effective Hall coefficients may be obtained...